# How do you write 4.5 times 10^3 in standard form?

##### 1 Answer
Jun 12, 2016

$4.5 \times {10}^{3} = 4500$

#### Explanation:

In scientific notation, we write a number so that it has single digit to the left of decimal sign and is multiplied by an integer power of $10$.

In other words, in scientific notation, a number is written as $a \times {10}^{n}$, where $1 \le a < 10$ and $n$ is an integer and $1 \le a < 10$.

To write the number in normal or standard notation one just needs to multiply by the power ${10}^{n}$ (or divide if $n$ is negative). This means moving decimal $n$ digits to right if multiplying by ${10}^{n}$ and moving decimal $n$ digits to left if dividing by ${10}^{n}$ (i.e. multiplying by ${10}^{- n}$).

In the given case, as we have the number as $4.5 \times {10}^{3}$, we need to move decimal digit to the right by three points. For this, let us write $4.5$ as $4.50000$ and moving decimal point three points to right means $4500.00$

Hence in standard notation $4.5 \times {10}^{3} = 4500$